Least Common Multiple of 59/99, 79/78, 79/88, 78/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/99, 79/78, 79/88, 78/792 quickly i.e. 363558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/99, 79/78, 79/88, 78/792 is 363558.

LCM(59/99, 79/78, 79/88, 78/792) = 363558

LCM of 59/99, 79/78, 79/88, 78/792

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 59/99,79/78,79/88,78/792

Given numbers are 59/99,79/78,79/88,78/792

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 59,79,79,78

Least Common Multiple of Numerators i.e. LCM of 59,79,79,78 is 363558.

GCF of Denominators means GCF of 99,78,88,792 as per the given fractions.

GCF of 99,78,88,792 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,79,79,78

LCM of Fractions 59/99,79/78,79/88,78/792 is 363558

79 59, 79, 79, 78
59, 1, 1, 78

∴ So the LCM of the given numbers is 79 x 59 x 1 x 1 x 78 = 363558

Least Common Multiple of 59,79,79,78 with GCF Formula

Least Common Multiple of 59,79,79,78 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 59,79,79,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,79,79,78) = 1

common factors(in case of two or more numbers have common factors) = 79

GCF(59,79,79,78) x common factors =1 x 79 = 79

LCM(59,79,79,78) = ( 59 × 79 × 79 × 78 ) / 79

LCM(59,79,79,78) = 28721082 / 79

LCM(59,79,79,78) = 363558


Lets's calculate GCF of 99,78,88,792

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 363558/1

Therefore the LCM of Fractions 59/99,79/78,79/88,78/792 is 363558

Greatest Common Factor of 99,78,88,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,78,88,792 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 99,78,88,792 . The biggest common factor number is the GCF number.
So the greatest common factor 99,78,88,792 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 59/99, 79/78, 79/88, 78/792

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 59/99, 79/78, 79/88, 78/792?

Answer: LCM of Numerators as per given numbers 59/99, 79/78, 79/88, 78/792 is

LCM of Numerators i.e. for 59,79,79,78 is 363558

GCF of denominators i.e. for 99,78,88,792 is 1.

Thus, LCM of Fractions is 363558.Finally, LCM of Fractions for 59/99, 79/78, 79/88, 78/792 is 363558.